From the doctors' office side, first, I'll bite my tongue on national healthcare. I don't want to get started!

Jolt, I understand your frustration in not getting a doctor to take you as a new patient. Been there! As far as the practice only accepting financially needy patients, it's quite possible that they have an agreement to accept x number of needy patients and they still haven't met this requirement and they're otherwise full. But I'd definitely mention to your insurance that you were just turned down by a PCP on their list. Since you can't get healthcare without a PCP, you're not getting what you're paying for until you get one so their helping you with this would be the right thing. Good luck!